Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
700 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 149 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#15668043 | C2 | semidirect |
| 3. #19152172 | C2 | semidirect |
| 4. #19151759 | C2 | semidirect |
| 5. #19151752 | C2 | semidirect |
| 6. #19151607 | C2 | semidirect |
| 7. #19151595 | C2 | semidirect |
| 8. #19151564 | C2 | semidirect |
| 9. C22×Q16×C89 | C2 | semidirect |
| 141. C89 | #3011 | semidirect |
| 144. C22×Q16 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668060 | 2 |
| C2×#15668043 | 2 |
| #19152172 | 2 |
| #19151759 | 2 |
| #19151752 | 2 |
| #19151607 | 2 |
| #19151595 | 2 |
| #19151564 | 2 |
| C22×Q16×C89 | 2 |
| #3011 | 89 |